Let be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex . Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.
@article{701545,
title = {Finite group actions on 2- dimensional CW-complexes},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1994},
pages = {[59]-68},
mrnumber = {MR1344001},
zbl = {0876.57019},
url = {http://dml.mathdoc.fr/item/701545}
}
Dorabiala, Wojciech. Finite group actions on 2- dimensional CW-complexes, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1994), pp. [59]-68. http://gdmltest.u-ga.fr/item/701545/